46642464 has 72 divisors (see below), whose sum is σ = 144707472. Its totient is φ = 14133120.

The previous prime is 46642447. The next prime is 46642481. The reversal of 46642464 is 46424664.

It is a happy number.

46642464 is a `hidden beast` number, since 4 + 6 + 642 + 4 + 6 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (46642447) and next prime (46642481).

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4194 + ... + 10529.

It is an arithmetic number, because the mean of its divisors is an integer number (2009826).

Almost surely, 2^46642464 is an apocalyptic number.

46642464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

46642464 is an abundant number, since it is smaller than the sum of its proper divisors (98065008).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

46642464 is a wasteful number, since it uses less digits than its factorization.

46642464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14750 (or 14739 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

The square root of 46642464 is about 6829.5288270861. The cubic root of 46642464 is about 359.9651818178.

The spelling of 46642464 in words is "forty-six million, six hundred forty-two thousand, four hundred sixty-four".